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Finding the Fourth Proportional to 7,670.39, 11,506.20 and 2,048.09

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Solution

The fourth proportional to 7,670.39, 11,506.20 and 2,048.09 is: 3,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.39 : 11,506.20 = 2,048.09 : x
  2. Step 2: Convert to fraction form
    7,670.39/11,506.20 = 2,048.09/x
  3. Step 3: Cross multiply
    7,670.39x = 11,506.20 × 2,048.09
  4. Step 4: Simplify right side
    7,670.39x = 23,565,675.63
  5. Step 5: Solve for x
    x = 23,565,675.63/7,670.39
  6. Step 6: Final answer
    x = 3,072.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.